Denis S. Krotov

collaborators

2 papers

math.CO2024

Low-degree functions without non-essential arguments

Denis S. Krotov

For the Hamming graph $H (n, q)$ , where a $q$ is a constant prime power and $n$ grows, we construct perfect colorings without non-essential arguments such that $n$ depends exponentia…

math.CO2024

The classification of orthogonal arrays OA(2048,14,2,7) and some completely regular codes

Denis S. Krotov

We describe the classification of orthogonal arrays OA $(2048, 14, 2, 7)$ , or, equivalently, completely regular ${14; 2}$ -codes in the $14$ -cube ( $30848$ equivalence classes). In part…